85629109684248 has 96 divisors (see below), whose sum is σ = 257562903992400. Its totient is φ = 26347418353152.

The previous prime is 85629109684207. The next prime is 85629109684273. The reversal of 85629109684248 is 84248690192658.

85629109684248 is a `hidden beast` number, since 8 + 5 + 6 + 291 + 0 + 96 + 8 + 4 + 248 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1172836465 + ... + 1172909472.

Almost surely, 2^{85629109684248} is an apocalyptic number.

It is an amenable number.

85629109684248 is an abundant number, since it is smaller than the sum of its proper divisors (171933794308152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85629109684248 is a wasteful number, since it uses less digits than its factorization.

85629109684248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345745978 (or 2345745955 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 85629109684248 in words is "eighty-five trillion, six hundred twenty-nine billion, one hundred nine million, six hundred eighty-four thousand, two hundred forty-eight".